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#11
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#12
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![]() "Jim Vincent" wrote in message ... It will gain more height with ballast. The kinetic energy is defined as 1/2*m*v squared. [...] The potential energy is m*g*h, [...] So for example, if a gldier weighs twice as much, it will gain twice the height, or at least I think so! Again, take out the constants. Both aircraft have the same velocity at the beginning, 100Kts. Assume, for the sake of argument, that they have the same velocity at the end, say 30 kts (I know the heavier one will stall first, but in a vertical pull up, the wing loading is zero, so the stall speed would be very close). SO at the beginning, the delta in kinetic energy for two ships travelling the same speed is only proportional to the mass. Since the heavier one weighs more, it has more kinetic energy. At the end of the pull up, when all the kinetic is converted to potential, take out the constants again (g), and the only remaining variable is h. h is proportionally more for the heavier ship. And, as I said before, this is not accounting for drag. P.S. I f'in hate calcusus. R dR d theta double dot! Jim Vincent CFIG N483SZ Wrong again. If you can't do the math right, at least stop doing it in public. "The only remaining variable is" not h, it is mh. mh is "proportionally more for the heavier ship"; h is the same. |
#13
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![]() "Jim Vincent" wrote in message ... Since mass is a constant factor on both sides of the equation, it cancels out. You need to compare one equation to the other. The masses are different. Yes, for one glider, the masses cancel out, but not when comparing two different masses, cetarus parabus. Jim Vincent CFIG N483SZ You don't know what you are talking about. |
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#16
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#17
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Jim Vincent wrote:
Since mass is a constant factor on both sides of the equation, it cancels out. You need to compare one equation to the other. The masses are different. Yes, for one glider, the masses cancel out, but not when comparing two different masses, cetarus parabus. You are confused. Can you explain what you mean by comparing one equation to the other? Let me try: For glider one we have: 1/2*m1*v1^2=m1*g*h1 For glider two: 1/2*m2*v2^2=m2*g*h1 since the equations are quite similar for both gliders, of course ;-) So comparing the two equations, you can now see that the mass, surprisingly enough for you ;-, cancels out for both gliders. I do hope you are not "helping" your kids doing their math-homework! Christian 8-) |
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